{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "讲师： 沈福利\n",
    "\n",
    "本章节目标\n",
    "\n",
    "* 自定义文本\n",
    "* 自定义注释"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 自定义文本和注释"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在使用pyplot画图的时候，有时会需要在图上标注一些文字，如果曲线靠的比较近，最好还能用箭头指出标注文字和曲线的对应关系。这里就介绍文字标注和箭头的使用。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 自定义文本"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "添加标注使用pyplot.text,由pyplot或者subplot调用\n",
    "\n",
    "text(tx,ty,fontsize=fs,verticalalignment=va,horizontalalignment=ha,...)\n",
    "\n",
    "其中，tx和ty指定放置文字的位置，va和ha指定对其方式，可以是top，bottom，center或者left，right，center,还可以使文字带有边框，边框形状还可以是箭头，并指定方向。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(2,0.9,'$f(t)=e^{-t} \\\\cos (2 \\\\pi t)$')"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 784x686 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f1(t):\n",
    "    return np.exp(-t)*np.cos(2*np.pi*t)\n",
    " \n",
    "def f2(t):\n",
    "    return np.sin(2*np.pi*t)*np.cos(3*np.pi*t)\n",
    " \n",
    "t = np.arange(0.0,5.0,0.02)\n",
    " \n",
    "plt.figure(figsize=(8,7),dpi=98)\n",
    "p1 = plt.subplot()\n",
    "label_f1 = \"$f(t)=e^{-t} \\cos (2 \\pi t)$\"\n",
    " \n",
    "p1.plot(t,f1(t),\"g-\",label=label_f1)\n",
    "p1.axis([0.0,5.01,-1.0,1.5])\n",
    " \n",
    "p1.set_ylabel(u\"y-label\",fontsize=14)\n",
    "p1.set_title(\"A simple example\",fontsize=18)\n",
    "p1.grid(True)\n",
    "#p1.legend()\n",
    "\n",
    "tx = 2\n",
    "ty = 0.9\n",
    "p1.text(tx,ty,label_f1,fontsize=15,verticalalignment=\"top\",horizontalalignment=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 自定义注释"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "添加箭头使用pyplot.annotate，调用方式与text类似。下面是可选择的参数\n",
    "\n",
    "annotate(text,xy=(tx0,ty0),xytext=(tx1,ty1),arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3\"))\n",
    "\n",
    "其中，text是与箭头一起的文字，xy是箭头所在位置，终点，xytext是起点，arrowtypes指定箭头的样式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(2,0.9,'')"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 784x686 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f1(t):\n",
    "    return np.exp(-t)*np.cos(2*np.pi*t)\n",
    " \n",
    "def f2(t):\n",
    "    return np.sin(2*np.pi*t)*np.cos(3*np.pi*t)\n",
    " \n",
    "t = np.arange(0.0,5.0,0.02)\n",
    " \n",
    "plt.figure(figsize=(8,7),dpi=98)\n",
    "p2 = plt.subplot()\n",
    " \n",
    "label_f2 = \"$g(t)=\\sin (2 \\pi t) \\cos (3 \\pi t)$\"\n",
    " \n",
    "p2.plot(t,f2(t),\"r-.\",label=label_f2,linewidth=2)\n",
    "\n",
    "p2.axis([0.0,5.01,-1.0,1.5])\n",
    "p2.set_ylabel(\"v\",fontsize=14)\n",
    "p2.set_xlabel(\"t\",fontsize=14)\n",
    "#p2.legend()\n",
    "tx = 2\n",
    "ty = 0.9\n",
    "p2.text(tx,ty,label_f2,fontsize=15,verticalalignment=\"bottom\",horizontalalignment=\"left\")\n",
    "p2.annotate('',xy=(1.8,0.5),xytext=(tx,ty),arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
